7287791616 has 336 divisors, whose sum is σ = 24998623104. Its totient is φ = 2078244864.

The previous prime is 7287791593. The next prime is 7287791627. The reversal of 7287791616 is 6161977827.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×7287791616² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13934331 + ... + 13934853.

It is an arithmetic number, because the mean of its divisors is an integer number (74400664).

Almost surely, 2^7287791616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7287791616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12499311552).

7287791616 is an abundant number, since it is smaller than the sum of its proper divisors (17710831488).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

7287791616 is an frugal number, since it uses more digits than its factorization.

7287791616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 571 (or 535 counting only the distinct ones).

The product of its digits is 1778112, while the sum is 54.

The square root of 7287791616 is about 85368.5633942612. The cubic root of 7287791616 is about 1938.7954062298.

The spelling of 7287791616 in words is "seven billion, two hundred eighty-seven million, seven hundred ninety-one thousand, six hundred sixteen".